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10201442114401 is a prime number
BaseRepresentation
bin1001010001110011010101…
…0101010101101101100001
31100010020201001002221101021
42110130311111111231201
52314120023140130101
633410251112405441
72102013150146416
oct224346525255541
940106631087337
1010201442114401
1132834531390aa
1211891363a6881
1358ccb8180215
14273a7696610d
1512a569cca5a1
hex94735555b61

10201442114401 has 2 divisors, whose sum is σ = 10201442114402. Its totient is φ = 10201442114400.

The previous prime is 10201442114389. The next prime is 10201442114447. The reversal of 10201442114401 is 10441124410201.

10201442114401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10065384414801 + 136057699600 = 3172599^2 + 368860^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10201442114401 is a prime.

It is not a weakly prime, because it can be changed into another prime (10201442115401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100721057200 + 5100721057201.

It is an arithmetic number, because the mean of its divisors is an integer number (5100721057201).

Almost surely, 210201442114401 is an apocalyptic number.

It is an amenable number.

10201442114401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201442114401 is an equidigital number, since it uses as much as digits as its factorization.

10201442114401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 10201442114401 its reverse (10441124410201), we get a palindrome (20642566524602).

The spelling of 10201442114401 in words is "ten trillion, two hundred one billion, four hundred forty-two million, one hundred fourteen thousand, four hundred one".